Hamiltonian systems form the bedrock for modelling a vast range of physical phenomena, from celestial mechanics to quantum dynamics. Their evolution is governed by a Hamiltonian function that ...

There are two basic prototypes of nondissipative dynamics, corresponding to whether time propagation retains a very strong or a very weak memory of the initial conditions: integrable dynamics, where ...

Generically hamiltonian systems are nonintegrable. However there are few tools in order to prove that a given system is nonintegrable. For two degrees of freedom the usual methods rely upon the ...